BOBYQA swMATH ID: 4769 Software Authors: M.J.D. Powell Description: This Fortran software seeks the least value of a function of several variables without requiring any derivatives of the objective function. It was developed from my NEWUOA package for this calculation in the unconstrained case. The main new feature of BOBYQA, however, is that it allows lower and upper bounds on each variable. The name BOBYQA denotes Bound Optimization BY Quadratic Approximation. Please send an e-mail to me at mjdp-at-cam.ac.uk if you would like to receive a free copy of the Fortran software. As far as I know BOBYQA is the most powerful package available at present for minimizing functions of hundreds of variables without derivatives subject to simple bound constraints. There are no restrictions on its use. I would be delighted if it becomes valuable to much research and many applications Homepage: http://www.damtp.cam.ac.uk/user/na/NA_papers/NA2009_06.pdf Programming Languages: Fortran Related Software: NEWUOA; DFO; MultiMin; UOBYQA; NLopt; NOMAD; ORBIT; COBYLA2; SNOBFIT; EGO; MCS; WEDGE; CUTEr; Boosters; DFBOX_IMPR; DFL; SDBOX; OrthoMADS; KELLEY; PSwarm Cited in: 79 Publications all top 5 Cited by 175 Authors 5 Karas, Elizabeth W. 5 Zhu, Detong 4 Echebest, Nélida E. 4 Pedroso, Lucas Garcia 3 Ali, Montaz M. 3 Cartis, Coralia 3 Martínez, José Mario 3 Roberts, Lindon 3 Sachine, Mael 3 Sahinidis, Nikolaos V. 3 Toint, Philippe L. 3 Wang, Peng 3 Wild, Stefan M. 2 Arouxét, Ma. Belén 2 Boukouvala, Fani 2 Buenzli, Pascal R. 2 Conejo, Paulo D. 2 Doležel, Ivo 2 Faruque Hasan, M. M. 2 Ferreira, Priscila S. 2 Floudas, Christodoulos Achilleus 2 García-Palomares, Ubaldo M. 2 Gumma, E. A. E. 2 Hashim, Mohsin Hassan Abdallah 2 Kotlan, Václav 2 Larson, Jeffrey 2 Lass, Oliver 2 Maclaren, Oliver J. 2 Pilotta, Elvio A. 2 Ploskas, Nikolaos 2 Schuverdt, María Laura 2 Simpson, Matthew J. 2 Sobral, F. N. C. 2 Ulbrich, Stefan 2 Vignau, R. P. 2 Yuan, Ya-xiang 1 Abdelhamid, Talaat 1 Ahlström, Johan 1 Albrecht, Sebastian 1 Allenby, Mark C. 1 Almeida, José Humberto S. 1 Ansermino, J. Mark 1 Asorey-Cacheda, Rafael 1 Bajaj, Ishan 1 Baker, Ruth Elizabeth 1 Balesdent, Mathieu 1 Banks, Jeffrey W. 1 Beliakov, Gleb 1 Billups, Stephen C. 1 Birgin, Ernesto G. 1 Bittrich, Lars 1 Braglia, Matteo 1 Brant, Rollin 1 Brevault, Loïc 1 Browning, Alexander P. 1 Červinka, Michal 1 Chen, Jun 1 Chen, Xingang 1 Costa-Montenegro, Enrique 1 Costa, Alberto L. C. 1 Dawson, John A. 1 Diniz-Ehrhardt, Maria Aparecida 1 Driesner, Thomas 1 Ekh, Magnus 1 Elazab, Ahmed 1 Elsheikh, Ammar H. 1 Fiala, Jan 1 Gągolewski, Marek 1 Gao, Amy 1 Gao, Jing 1 Gerbeau, Jean-Frédéric 1 Ghorbani, Mohammad 1 Giovannelli, Tommaso 1 González-Castaño, Francisco J. 1 Gould, Nicholas Ian Mark 1 Graf, Peter A. 1 Gratton, Serge 1 Hare, Warren L. 1 Hazra, Dhiraj Kumar 1 He, Lingyun 1 Hebbal, Ali 1 Heinrich, Gert 1 Henshaw, William D. 1 Hingerl, Ferdinand F. 1 Huang, Xiaojin 1 Huynh-Thu, Vân Anh 1 James, Simon 1 Jiang, Daijun 1 Jones, Donald R. 1 Karban, Pavel 1 Kendziorski, Christina 1 Kieslich, Chris A. 1 Kimiaei, Morteza 1 Kolvenbach, Philip 1 Kosakowski, Georg 1 Kroll, Lothar 1 Kropík, Petr 1 Kulik, Dmitrii A. 1 Lakhmiri, Dounia 1 Lanaro, Matthew ...and 75 more Authors all top 5 Cited in 38 Serials 7 Journal of Global Optimization 7 Computational Optimization and Applications 6 Optimization Methods & Software 4 Optimization 4 Computational and Applied Mathematics 4 Mathematical Programming Computation 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Mathematical Programming. Series A. Series B 3 Optimization and Engineering 2 Journal of Computational Physics 2 ACM Transactions on Mathematical Software 2 Biometrics 2 Computational Geosciences 2 Optimization Letters 2 Numerical Algebra, Control and Optimization 2 Journal of Theoretical Biology 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Computer Aided Geometric Design 1 Asia-Pacific Journal of Operational Research 1 Computational Statistics 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 SIAM Journal on Scientific Computing 1 Mathematical Problems in Engineering 1 Discrete Dynamics in Nature and Society 1 Journal of Applied Statistics 1 European Journal of Mechanics. A. Solids 1 CEJOR. Central European Journal of Operations Research 1 Journal of Systems Science and Complexity 1 Journal of Cosmology and Astroparticle Physics 1 Acta Numerica 1 Inverse Problems in Science and Engineering 1 Set-Valued and Variational Analysis 1 EURO Journal on Computational Optimization 1 Methods in Molecular Biology all top 5 Cited in 17 Fields 53 Operations research, mathematical programming (90-XX) 32 Numerical analysis (65-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Partial differential equations (35-XX) 7 Statistics (62-XX) 6 Biology and other natural sciences (92-XX) 5 Mechanics of deformable solids (74-XX) 3 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year